Evaluate Using Scientific Notation (7.29610^2)÷9.610^-9

$7.296 \times 10^{2} \div 9.6 \times 10^{- 9}$

Divide using scientific notation.

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{7.296}{9.6}) (\frac{10^{2}}{1}) \times 10^{- 9}$

Divide $7.296$ by $9.6$ .

$0.76 \frac{10^{2}}{1} \times 10^{- 9}$

Divide $10^{2}$ by $1$ .

$0.76 \cdot 10^{2} \times 10^{- 9}$

Multiply $10^{2}$ by $10^{- 9}$ by adding the exponents.

Move $10^{- 9}$ .

$0.76 \cdot (10^{- 9} \cdot 10^{2})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$0.76 \cdot 10^{- 9 + 2}$

Add $- 9$ and $2$ .

$0.76 \cdot 10^{- 7}$

Write $0.76 \cdot 10^{- 7}$ in proper scientific notation.

$7.6 \cdot 10^{- 8}$

Evaluate Using Scientific Notation (7.296*10^2)÷9.6*10^-9